A string of length L is fixed at one end and carries a mass of M at… | JEE Main 2025 (24 Jan, Shift 2)

Q5JEE Main 2025 · 24 JAN · SHIFT 2Medium

Conical Pendulum & Funnel

A string of length $L$ is fixed at one end and carries a mass of $M$ at the other end. The mass makes $\left(\frac{3}{\pi}\right)$ rotations per second about the vertical axis passing through end of the string as shown. The tension in the string is __________ ML.

Numerical answer type. Work it out, then open the answer.

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Answer: 36

$\omega = 2\pi n = 2\pi \times \frac{3}{\pi} = 6$ rad/s
$T\sin\theta = M\omega^2 (L\sin\theta) \Rightarrow T = M\omega^2 L$
$T = 36\,ML$
So the answer is 36.

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